Geometry Cross Sections and Solids of Revolution Quiz: 10 Questions with Explanations

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This geometry cross sections quiz for Geometry covers cross sections and solids of revolution (Common Core G-GMD.B.4), with a free PDF to print.

Test your understanding of cross sections and solids of revolution with this 10-question multiple-choice quiz. Each question has one correct answer, and the explanation after it names the typical mistake behind the wrong choices. Take it after the lesson or before the test.

Geometry · Common Core State Standards: G-GMD.B.4

Geometry cross sections quiz: 10 questions

Question 1
cross sectioncircle
A plane parallel to the base cuts a cylinder in a circle.

A plane parallel to the bases cuts a cylinder. What is the cross section?

Question 2
cross sectionrectangle
A plane through the axis cuts a cylinder in a rectangle.

A plane through the axis of a cylinder, perpendicular to the bases, gives which cross section?

Question 3
cross sectiontriangle
A plane through the apex and axis cuts a cone in a triangle.

A plane through the apex and axis of a cone gives which cross section?

Question 4
Every plane cross section of a sphere is

Question 5
A right triangle is rotated about one of its legs. What solid forms?

Question 6
axisrotate
A rectangle rotated about one side makes a cylinder.

A rectangle is rotated about one of its sides. What solid forms?

Question 7
A sphere has radius 5 and a plane 3 units from the center cuts it. What is the radius of the circle cross section?

Question 8
cross sectionsquare
A plane parallel to a face cuts a cube in a square.

A plane parallel to a face cuts a cube with edge 7. What is the area of the cross section?

Question 9
A right triangle with legs 3 and 4 is rotated about the leg of length 4. What is the volume of the solid?

Question 10
A semicircle with radius 3 is rotated about its diameter. What is the volume?

Remember

Remember
  • Cylinder: parallel cut is a circle; cut through the axis is a rectangle.
  • Cube: cut parallel to a face is a square.
  • Cone: parallel cut is a circle; cut through the apex is a triangle.
  • Sphere: every plane cross section is a circle.
  • Rotating a rectangle about a side gives a cylinder; a right triangle about a leg gives a cone.

How to use this geometry cross sections quiz

Answer each question, read the explanation that appears, and keep track of your score. A score of 8 out of 10 or more means you are ready for the test.

Download the geometry cross sections quiz as a PDF with the button below and keep it with your notes.

Download the geometry cross sections quiz as a PDF with the button below and keep it with your notes.

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Geometry Cross Sections and Solids of Revolution Quiz: 10 Questions with Explanations

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